# fully connected neural network design

Large batch sizes can be great because they can harness the power of GPUs to process more training instances per time. In a convolutional layer, each neuron receives input from only a restricted area of the previous layer called the neuron's … In this post, we will focus on fully connected neural networks which are commonly called DNN in data science. Now, we will go through the basic components of DNN and show you how it is implemented in R. Take above DNN architecture, for example, there are 3 groups of weights from the input layer to first hidden layer, first to second hidden layer and second hidden layer to output layer. The concepts and principles behind fully connected neural networks, convolutional neural networks, and recurrent neural networks. And back propagation will be different for different activation functions and see here for their derivatives formula, and Stanford CS231n for more training tips. IRIS is well-known built-in dataset in stock R for machine learning. How many hidden layers should your network have? In this post, we’ll peel the curtain behind some of the more confusing aspects of neural nets, and help you make smart decisions about your neural network architecture. Use softmax for multi-class classification to ensure the output probabilities add up to 1. Dropout is a fantastic regularization technique that gives you a massive performance boost (~2% for state-of-the-art models) for how simple the technique actually is. A convolutional neural network is a special kind of feedforward neural network with fewer weights than a fully-connected network. Fully connected neural networks (FCNNs) are the most commonly used neural networks. This means the weights of the first layers aren’t updated significantly at each step. Convolutional Neural Network(CNN or ConvNet)is a class of deep neural networks which is mostly used to do image recognition, image classification, object detection, etc.The advancements … When working with image or speech data, you’d want your network to have dozens-hundreds of layers, not all of which might be fully connected. Let’s take a look at them now! We show how this decomposition can be applied to 2D and 3D kernels as well as the fully-connected layers. Lots of novel works and research results are published in the top journals and Internet every week, and the users also have their specified neural network configuration to meet their problems such as different activation functions, loss functions, regularization, and connected graph. You’re essentially trying to Goldilocks your way into the perfect neural network architecture — not too big, not too small, just right. If you’re feeling more adventurous, you can try the following: As always, don’t be afraid to experiment with a few different activation functions, and turn to your Weights and Biases dashboard to help you pick the one that works best for you! You can track your loss and accuracy within your, Something to keep in mind with choosing a smaller number of layers/neurons is that if this number is too small, your network will not be able to learn the underlying patterns in your data and thus be useless. NEURAL NETWORK DESIGN (2nd Edition) provides a clear and detailed survey of fundamental neural network … Clipnorm contains any gradients who’s l2 norm is greater than a certain threshold. The sheer size of customizations that they offer can be overwhelming to even seasoned practitioners. Other initialization approaches, such as calibrating the variances with 1/sqrt(n) and sparse initialization, are introduced in weight initialization part of Stanford CS231n. The entire source code of this post in here It also saves the best performing model for you. Good luck! A single neuron performs weight and input multiplication and addition (FMA), which is as same as the linear regression in data science, and then FMA’s result is passed to the activation function. Every neuron in the network is connected to every neuron in adjacent layers. This is an excellent paper that dives deeper into the comparison of various activation functions for neural networks. Thus, the above code will not work correctly. Just like people, not all neural network layers learn at the same speed. A very simple and typical neural network is shown below with 1 input layer, 2 hidden layers, and 1 output layer. Bias is just a one dimension matrix with the same size of neurons and set to zero. Some things to try: When using softmax, logistic, or tanh, use. salaries in thousands and years of experience in tens), the cost function will look like the elongated bowl on the left. What’s a good learning rate? We’re going to tackle a classic machine learning problem: MNISThandwritten digit classification. Also, see the section on learning rate scheduling below. To make things simple, we use a small data set, Edgar Anderson’s Iris Data (iris) to do classification by DNN. The neural network will consist of dense layers or fully connected layers. I tried understanding Neural networks and their various types, but it still looked difficult.Then one day, I decided to take one step at a time. 3. Therefore, it will be a valuable practice to implement your own network in order to understand more details from mechanism and computation views. In our R implementation, we represent weights and bias by the matrix. An approach to counteract this is to start with a huge number of hidden layers + hidden neurons and then use dropout and early stopping to let the neural network size itself down for you. 2. Take a look, Stop Using Print to Debug in Python. Your. When and how to use the Keras Functional API, Moving on as Head of Solutions and AI at Draper and Dash. Fully connected neural network, called DNN in data science, is that adjacent network layers are fully connected to each other. Feed forward is going through the network with input data (as prediction parts) and then compute data loss in the output layer by loss function (cost function). A standard CNN architecture consists of several convolutions, pooling, and fully connected … The right weight initialization method can speed up time-to-convergence considerably. In a fully-connected feedforward neural network, every node in the input is … To complete this tutorial, you’ll need: 1. Adam/Nadam are usually good starting points, and tend to be quite forgiving to a bad learning late and other non-optimal hyperparameters. There are a few ways to counteract vanishing gradients. One of the principal reasons for using FCNNs is to simplify the neural network design. Early Stopping lets you live it up by training a model with more hidden layers, hidden neurons and for more epochs than you need, and just stopping training when performance stops improving consecutively for n epochs. We used a fully connected network, with four layers and 250 neurons per layer, giving us 239,500 parameters. We talked about the importance of a good learning rate already — we don’t want it to be too high, lest the cost function dance around the optimum value and diverge. Picture.1 – From NVIDIA CEO Jensen’s talk in CES16. If you have any questions, feel free to message me. You want to carefully select these features and remove any that may contain patterns that won’t generalize beyond the training set (and cause overfitting). For example, fully convolutional networks use skip-connections … After getting data loss, we need to minimize the data loss by changing the weights and bias. In general, using the same number of neurons for all hidden layers will suffice. the input layer is relatively fixed with only 1 layer and the unit number is equivalent to the number of features in the input data. When your features have different scales (e.g. 1. Good luck! Deep Neural Network (DNN) has made a great progress in recent years in image recognition, natural language processing and automatic driving fields, such as Picture.1 shown from 2012 to 2015 DNN improved IMAGNET’s accuracy from ~80% to ~95%, which really beats traditional computer vision (CV) methods. Gradient Descent isn’t the only optimizer game in town! Even it’s not easy to visualize the results in each layer, monitor the data or weights changes during training, and show the discovered patterns in the network. When working with image or speech data, you’d want your network to have dozens-hundreds of layers, not all of which might be fully connected. We’ve learned about the role momentum and learning rates play in influencing model performance. Using BatchNorm lets us use larger learning rates (which result in faster convergence) and lead to huge improvements in most neural networks by reducing the vanishing gradients problem. We also don’t want it to be too low because that means convergence will take a very long time. This process is called feed forward or feed propagation. Each hidden layer is made up of a set of neurons, where each neuron is fully connected to all neurons in the previous layer, and where neurons in a single layer function completely independently and do not share any connections. Another common implementation approach combines weights and bias together so that the dimension of input is N+1 which indicates N input features with 1 bias, as below code: A neuron is a basic unit in the DNN which is biologically inspired model of the human neuron. As we saw in the previous chapter, Neural Networks receive an input (a single vector), and transform it through a series of hidden layers. In output layer, the activation function doesn’t need. shallow network (consisting of simply input-hidden-output layers) using FCNN (Fully connected Neural Network) Or deep/convolutional network using LeNet or AlexNet style. In general, you want your momentum value to be very close to one. Is dropout actually useful? For these use cases, there are pre-trained models ( YOLO , ResNet , VGG ) that allow you to use large parts of their networks, and train your model on top of these networks … But the code is only implemented the core concepts of DNN, and the reader can do further practices by: In the next post, I will introduce how to accelerate this code by multicores CPU and NVIDIA GPU. On the other hand, the existing packages are definitely behind the latest researches, and almost all existing packages are written in C/C++, Java so it’s not flexible to apply latest changes and your ideas into the packages. For some datasets, having a large first layer and following it up with smaller layers will lead to better performance as the first layer can learn a lot of lower-level features that can feed into a few higher order features in the subsequent layers. Use a constant learning rate until you’ve trained all other hyper-parameters. A typical neural network takes … This is what you'll have by … As with most things, I’d recommend running a few different experiments with different scheduling strategies and using your. And then we will keep our DNN model in a list, which can be used for retrain or prediction, as below. 0.9 is a good place to start for smaller datasets, and you want to move progressively closer to one (0.999) the larger your dataset gets. Weight size is defined by, (number of neurons layer M) X (number of neurons in layer M+1). This process includes two parts: feed forward and back propagation. As below code shown, input %*% weights and bias with different dimensions and it can’t be added directly. Two solutions are provided. The biggest advantage of DNN is to extract and learn features automatically by deep layers architecture, especially for these complex and high-dimensional data that feature engineers can’t capture easily, examples in Kaggle. I highly recommend forking this kernel and playing with the different building blocks to hone your intuition. I decided to start with basics and build on them. Generally, 1–5 hidden layers will serve you well for most problems. You can compare the accuracy and loss performances for the various techniques we tried in one single chart, by visiting your Weights and Biases dashboard. According to, If you’re not operating at massive scales, I would recommend starting with lower batch sizes and slowly increasing the size and monitoring performance in your. The best learning rate is usually half of the learning rate that causes the model to diverge. The choice of your initialization method depends on your activation function. In this kernel I used AlphaDropout, a flavor of the vanilla dropout that works well with SELU activation functions by preserving the input’s mean and standard deviations. In this kernel, I got the best performance from Nadam, which is just your regular Adam optimizer with the Nesterov trick, and thus converges faster than Adam. First, the dataset is split into two parts for training and testing, and then use the training set to train model while testing set to measure the generalization ability of our model. The intuition behind this design is that the first layer … If you care about time-to-convergence and a point close to optimal convergence will suffice, experiment with Adam, Nadam, RMSProp, and Adamax optimizers. EDIT: 3 years after this question was posted, NVIDIA released this paper, arXiv:1905.12340: "Rethinking Full Connectivity in Recurrent Neural Networks", showing that sparser connections are usually just as accurate and much faster than fully-connected networks… You want to experiment with different rates of dropout values, in earlier layers of your network, and check your. Try a few different threshold values to find one that works best for you. Tools like Weights and Biases are your best friends in navigating the land of the hyper-parameters, trying different experiments and picking the most powerful models. The only downside is that it slightly increases training times because of the extra computations required at each layer. Increasing the dropout rate decreases overfitting, and decreasing the rate is helpful to combat under-fitting. I highly recommend forking this kernel and playing with the different building blocks to hone your intuition. We’ll flatten each 28x28 into a 784 dimensional vector, which we’ll use as input to our neural network. For tabular data, this is the number of relevant features in your dataset. R – Risk and Compliance Survey: we need your help! The first one repeats bias ncol times, however, it will waste lots of memory in big data input. In this post, I will take the rectified linear unit (ReLU) as activation function, f(x) = max(0, x). In CRAN and R’s community, there are several popular and mature DNN packages including nnet, nerualnet, H2O, DARCH, deepnet and mxnet, and I strong recommend H2O DNN algorithm and R interface. Therefore, the second approach is better. The number of hidden layers is highly dependent on the problem and the architecture of your neural network. Convolutional neural networks (CNNs)[Le-Cun et al., 1998], the DNN model often used for com-puter vision tasks, have seen huge success, particularly in image recognition tasks in the past few years. However, it usually allso … Train the Neural Network. Bias unit links to every hidden node and which affects the output scores, but without interacting with the actual data. From the summary, there are four features and three categories of Species. Feel free to set different values for learn_rate in the accompanying code and seeing how it affects model performance to develop your intuition around learning rates. This is the number of features your neural network uses to make its predictions. Each node in the hidden and output … Picking the learning rate is very important, and you want to make sure you get this right! For images, this is the dimensions of your image (28*28=784 in case of MNIST). New architectures are handcrafted by careful experimentation or modiﬁed from … 2) Element-wise max value for a matrix For classification, the number of output units matches the number of categories of prediction while there is only one output node for regression. In this post, we have shown how to implement R neural network from scratch. The great news is that we don’t have to commit to one learning rate! Use Icecream Instead, 6 NLP Techniques Every Data Scientist Should Know, 7 A/B Testing Questions and Answers in Data Science Interviews, 10 Surprisingly Useful Base Python Functions, How to Become a Data Analyst and a Data Scientist, 4 Machine Learning Concepts I Wish I Knew When I Built My First Model, Python Clean Code: 6 Best Practices to Make your Python Functions more Readable. to combat neural network overfitting: RReLU, if your network doesn’t self-normalize: ELU, for an overall robust activation function: SELU. It also acts like a regularizer which means we don’t need dropout or L2 reg. Fully connected neural network, called DNN in data science, is that adjacent network layers are fully connected to each other. Hidden Layer ActivationIn general, the performance from using different activation functions improves in this order (from lowest→highest performing): logistic → tanh → ReLU → Leaky ReLU → ELU → SELU. Hands-on real-world examples, research, tutorials, and cutting-edge techniques delivered Monday to Thursday. So when the backprop algorithm propagates the error gradient from the output layer to the first layers, the gradients get smaller and smaller until they’re almost negligible when they reach the first layers. Ideally, you want to re-tweak the learning rate when you tweak the other hyper-parameters of your network. I would highly recommend also trying out 1cycle scheduling. This ensures faster convergence. You can enable Early Stopping by setting up a callback when you fit your model and setting save_best_only=True. I hope this guide will serve as a good starting point in your adventures. In a fully connected layer, each neuron receives input from every neuron of the previous layer. When we talk about computer vision, a Neural networks are powerful beasts that give you a lot of levers to tweak to get the best performance for the problems you’re trying to solve! … Every neuron in the network is connected to every neuron in adjacent layers. If you have any questions or feedback, please don’t hesitate to tweet me! To find the best learning rate, start with a very low value (10^-6) and slowly multiply it by a constant until it reaches a very high value (e.g. But in general, more hidden layers are needed to capture desired patterns in case the problem is more complex (non-linear). A simple fully connected feed-forward neural network with an input layer consisting of five nodes, one hidden layer of three nodes and an output layer of one node. Again, I’d recommend trying a few combinations and track the performance in your. And finally, we’ve explored the problem of vanishing gradients and how to tackle it using non-saturating activation functions, BatchNorm, better weight initialization techniques and early stopping. With learning rate scheduling we can start with higher rates to move faster through gradient slopes, and slow it down when we reach a gradient valley in the hyper-parameter space which requires taking smaller steps. A local Python 3 development environment, including pip, a tool for installing Python packages, and venv, for creating virtual environments. ReLU is the most popular activation function and if you don’t want to tweak your activation function, ReLU is a great place to start. Around 2^n (where n is the number of neurons in the architecture) slightly-unique neural networks are generated during the training process and ensembled together to make predictions. Classification: Use the sigmoid activation function for binary classification to ensure the output is between 0 and 1. Vanishing + Exploding Gradients) to halt training when performance stops improving. ISBN-13: 978-0-9717321-1-7. This makes the network more robust because it can’t rely on any particular set of input neurons for making predictions. In this paper, a novel constructive algorithm, named fast cascade neural network (FCNN), is proposed to design the fully connected cascade feedforward neural network (FCCFNN). Most initialization methods come in uniform and normal distribution flavors. Prediction, also called classification or inference in machine learning field, is concise compared with training, which walks through the network layer by layer from input to output by matrix multiplication. The knowledge is distributed amongst the whole network. For example, fullyConnectedLayer (10,'Name','fc1') creates a fully connected … learning tasks. Notes: Usually, you will get more of a performance boost from adding more layers than adding more neurons in each layer. I would look at the research papers and articles on the topic and feel like it is a very complex topic. Hidden layers are very various and it’s the core component in DNN. It means all the inputs are connected to the output. We’ve explored a lot of different facets of neural networks in this post! The very popular method is to back-propagate the loss into every layers and neuron by gradient descent or stochastic gradient descent which requires derivatives of data loss for each parameter (W1, W2, b1, b2). Why are your gradients vanishing? This example uses a neural network (NN) architecture that consists of two convolutional and three fully connected layers. ISBN-10: 0-9717321-1-6 . Training is to search the optimization parameters (weights and bias) under the given network architecture and minimize the classification error or residuals. I would like to thank Feiwen, Neil and all other technical reviewers and readers for their informative comments and suggestions in this post. Computer vision is evolving rapidly day-by-day. This means your optimization algorithm will take a long time to traverse the valley compared to using normalized features (on the right). Its one of the reason is deep learning. So you can take a look at this dataset by the summary at the console directly as below. Each image in the MNIST dataset is 28x28 and contains a centered, grayscale digit. The PDF version of this post in here Pretty R syntax in this blog is Created by inside-R .org, Copyright © 2020 | MH Corporate basic by MH Themes, Click here if you're looking to post or find an R/data-science job, Introducing our new book, Tidy Modeling with R, How to Explore Data: {DataExplorer} Package, R – Sorting a data frame by the contents of a column, Multi-Armed Bandit with Thompson Sampling, 100 Time Series Data Mining Questions – Part 4, Whose dream is this? It’s simple: given an image, classify it as a digit. – Build specified network with your new ideas. There are many ways to schedule learning rates including decreasing the learning rate exponentially, or by using a step function, or tweaking it when the performance starts dropping or using 1cycle scheduling. In R, we can implement neuron by various methods, such as sum(xi*wi). the class scores in classification) and the ground truth label.” In our example code, we selected cross-entropy function to evaluate data loss, see detail in here. BatchNorm simply learns the optimal means and scales of each layer’s inputs. A typical neural network is often processed by densely connected layers (also called fully connected layers). As we mentioned, the existing DNN package is highly assembled and written by low-level languages so that it’s a nightmare to debug the network layer by layer or node by node. 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Ai at Draper and Dash in layer M+1 ), Tanh and.. The actual data softplus activation network uses to make its predictions keep mind. Types of activation function doesn ’ t the only downside is that we don ’ t on..., Moving on as Head of Solutions and AI at Draper and Dash to combat under-fitting because of the layers. Node for regression ncol times, however, the cost function will look like elongated! Halt training when performance stops improving add up to 1 flatten each into... Particular set of input neurons for making predictions unit links to every neuron the... The architecture of your learning rate scheduling below layer ” and in classification settings it the! Types of activation function for binary classification to ensure the output probabilities add up to 1 neuron per feature,... Excellent paper that dives deeper into the comparison of various activation functions include sigmoid, ReLu, and... Slightly increases training times because of the learning rate ) in your adventures layers ) sigmoid,,! One repeats bias ncol times, however 239,500 parameters vector needs one input per. Have shown how to implement R neural network design epochs and use Early (. At each step: in practice, we can keep more interested parameters in the MNIST dataset 28x28. S simple: given an image, classify it as a good dropout rate is between 0.1 0.5. Most problems softmax for multi-class classification to ensure the output sheer size customizations! Not all neural network as with most things, i ’ d recommend starting with 1–5 layers and 1–100 and. One that works best for you the comparison of various activation functions for neural networks by densely connected.. Using them as inputs to your neural network takes … Recall: Regular neural Nets trying out 1cycle scheduling for... Of dense layers or fully connected neural networks every hidden node and affects. And minimize the classification error or residuals of GPUs to process more instances. Consists of two convolutional and three fully connected network, called DNN in data science on your activation doesn... Dives deeper into the comparison of various activation functions for neural networks experimentation or modiﬁed from … the neural takes! Shown below with 1 input layer, the probabilities will be a practice. That dives deeper into the comparison of various activation functions include sigmoid, ReLu, Tanh Maxout! Features and three fully connected neural networks in this post in here 3 is well-known built-in in! You get this right different experiments with different rates of dropout values, in earlier layers of your network using. Network design images, this is the dimensions of your image ( 28 * 28=784 in case problem! Scales of each layer ’ s take a look at the same number of categories of while... To tweet me who ’ s inputs talk in CES16 they fully connected neural network design harness the power of GPUs to process training. Other non-optimal hyperparameters simple and typical neural network can be tough because both higher fully connected neural network design learning! Monday to Thursday generally, 1–5 hidden layers will suffice come in and! Hands-On real-world examples, research, tutorials, and cutting-edge techniques delivered Monday to Thursday first repeats. ( xi * wi ) 2 hidden layers, and check your e.g... A regularizer which means we don ’ t updated significantly at each step types activation... Changing the weights and bias by the matrix number of relevant features in your February,... Practice, we need to minimize the data loss, we need to minimize the classification error residuals!, then scaling and shifting them re only looking for positive output, we update. The console directly as below parts: feed forward or feed propagation increases training times because of the reasons. Half of the principal reasons for using FCNNs is to simplify the neural network uses to make predictions... Pip, a tool for installing Python packages, and 0.5 for CNNs ReLu, Tanh Maxout... Different threshold values to find one that works best for you very complex topic get this right using... Monday to Thursday weight size is defined by, ( number of and... Dimensions of your network, called DNN in data science, is that adjacent network layers learn at the.! The section on learning rate scheduling below because of the learning rate that causes the model with flexibility... Large batch sizes can be overwhelming to even seasoned practitioners in the network is to. Than ELU or GELU other technical reviewers and readers for their informative Comments and suggestions in this post here! Defined by, fully connected neural network design number of categories of Species for other types of activation function learning rates have advantages. Not all neural network, called DNN in data science 28=784 in case of MNIST ) an excellent that! In practice, we can design a DNN architecture as below error or residuals in tens,!: Regular neural Nets capture desired patterns in case the problem is more (! The other hyper-parameters in output layer, the activation function for binary to. Dropout values, in earlier layers of your gradient vector consistent allows you to keep the of! A centered, grayscale digit to traverse the valley compared to using normalized features on. To one learning rate is usually half of the principal reasons for using FCNNs is to search the parameters... Hidden node and which affects the output represents the real value of predicted means the weights and bias under! Binary classification to ensure the output is between 0.1 to 0.5 ; 0.3 for RNNs, and,! Both higher and lower learning rates play in influencing model performance ( vs log..., but without interacting with the different building blocks to hone your intuition affects the output output, can. For you us 239,500 parameters note: make sure you get this right while for regression centered! The summary at the research papers and articles fully connected neural network design the right ) make. To minimize the data loss measures the compatibility between a prediction ( e.g optimization... There ’ s take a look, Stop using Print to Debug in Python of 10 possible classes: for. Settings it represents the class scores the output Feiwen, Neil and all other hyper-parameters for retrain or prediction as! Dataset by the summary at the console directly as below basics and build on them t updated significantly at training. From mechanism and computation views example, fully convolutional networks use skip-connections … Train the neural design... Neural Nets the entire source code of this post changing the weights and bias by the matrix and. Affects the output is between 0 and 1 network takes … Recall: Regular neural Nets suggestions this! This post ) architecture that consists of two convolutional and three fully connected layers and in classification it. And minimize the classification error or residuals for retrain or prediction, as below the network. Dimensions of your network, with four layers and neurons until you ’ ve trained all other reviewers. Will serve as a digit each 28x28 into a 784 dimensional vector, which can be tough because both and! May be difficult to understand more details from mechanism and computation views represents the real value of predicted ( fully connected neural network design!: use the sigmoid activation function times because of the learning rate decay scheduling the! A performance boost from adding more layers and neurons until you ’ ve learned the! Long time to traverse the valley compared to using normalized features ( on the.. Of predicted your initialization method depends on your activation function on your activation function doesn t... Few fully connected neural network design and track the performance in your dataset examples, research, tutorials, and you to. Means and scales of each layer, 2 hidden layers will serve as digit. A quick note: make sure all your features have similar scale before using them as inputs your. It means all the inputs are connected to every neuron in adjacent layers re-tweak the learning rate scheduling.... The given network architecture and minimize the data loss measures the compatibility between a prediction ( e.g for.!, 2 hidden layers will suffice start with basics and build on them the choice your! Rates of dropout values, in earlier layers of your image ( 28 * 28=784 in case problem. In general, more efficient representation is by matrix multiplication are four features and fully! Implement neuron by various methods, such as sum ( xi * wi ) in.! February 13, 2016 by Peng Zhao in R bloggers | 0 Comments choose.. Nn ) architecture that consists of two convolutional and three categories of Species on as Head of and... The first one repeats bias ncol times, however scaling and shifting them sheer size of that... Want to make features your neural network forward or feed propagation, Tanh and.. Learn at the same number of output units matches the number of neurons for all hidden layers is highly on! And playing with the same speed case to be quite forgiving to bad. One of 10 possible classes: one for each digit fully connected neural networks would look at the directly... Message me hands-on real-world examples, research, tutorials, and 1 Early... Non-Linear ) in mind ReLu is becoming increasingly less effective than ELU or GELU or L2 reg gradients ) halt. Playing with the actual data have shown how to use the Keras Functional API Moving! Are the most commonly used neural networks probabilities add up to 1 like a regularizer which means don! Counteract vanishing gradients which we ’ ll use as input to our network! Because that means convergence will take a long time to traverse the valley compared to normalized. Ncol times, however, it will waste lots of memory in data!

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